Question

A homogeneous solid cylindrical roller of radius $R$ and mass $M$ is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is :

• A. $\frac{3F}{2m R }$
• B. $\frac{F}{3m R }$
• C. $\frac{2F}{3m R }$
• D. $\frac{F}{2m R }$

Answer 1

Answer: (C)

$\frac{2F}{3m R }$

Answer 2

$FR = \frac{3}{2} MR^{2}\alpha$
$\alpha =\frac{2F}{3MR}$